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14404202241 = 31113298913009
BaseRepresentation
bin11010110101000111…
…01010111100000001
31101011212001021210220
431122203222330001
5213444433432431
610341152013253
71016643461502
oct153243527401
941155037726
1014404202241
116121884380
12295bb31229
1314872920c0
149a9052ba9
15594876b96
hex35a8eaf01

14404202241 has 64 divisors (see below), whose sum is σ = 23605344000. Its totient is φ = 7692410880.

The previous prime is 14404202209. The next prime is 14404202261. The reversal of 14404202241 is 14220240441.

14404202241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14404202241 - 25 = 14404202209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14404202261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100745 + ... + 1113753.

It is an arithmetic number, because the mean of its divisors is an integer number (368833500).

Almost surely, 214404202241 is an apocalyptic number.

14404202241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14404202241 is a deficient number, since it is larger than the sum of its proper divisors (9201141759).

14404202241 is a wasteful number, since it uses less digits than its factorization.

14404202241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14404202241 its reverse (14220240441), we get a palindrome (28624442682).

The spelling of 14404202241 in words is "fourteen billion, four hundred four million, two hundred two thousand, two hundred forty-one".

Divisors: 1 3 11 13 29 33 39 87 89 143 267 319 377 429 957 979 1131 1157 2581 2937 3471 4147 7743 12441 12727 13009 28391 33553 38181 39027 85173 100659 143099 169117 369083 377261 429297 507351 1107249 1131783 1157801 1860287 3473403 4149871 4904393 5580861 12449613 12735811 14713179 15051413 33576229 38207433 45154239 53948323 100728687 161844969 165565543 369338519 436490977 496696629 1108015557 1309472931 4801400747 14404202241